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Finding the Third Proportional to 329,083 and 505,599

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Solution

The third proportional to 329,083 and 505,599 is: 776,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,083 : 505,599 = 505,599 : x
  2. Step 2: Convert to fraction form
    329,083/505,599 = 505,599/x
  3. Step 3: Cross multiply
    329,083x = 505,599 × 505,599
  4. Step 4: Simplify right side
    329,083x = 255,630,348,801
  5. Step 5: Solve for x
    x = 255,630,348,801/329,083
  6. Step 6: Final answer
    x = 776,795.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.